potatoes
Yes, you can. Most of the time cheese is accompanied by potatoes and onion in the filling, to add texture and prevent it from being all cheese.
One can find a lot of good Peruvian food recipes. Some of the most famous and classics are yellow potatoes with chicken salad and corn salad with fresh cheese.
what are some common sources of carbohydrates
Pasta, rice, potatoes, bread.
ice cream
Many kinds but I'd say mashed potatoes is the most "popular." jell-o dough cheese mashed potatoes meatloaf
Most noodles are made of some kind of wheat (or similar) flour. There are lesser varieties made from rice and one or two other staples, but they are not so common.
cheese burger, hamburger, chicken burger etc
Peruvian foods include ceviche, stir fried beef (yes Chinese cooking is alive and well in Peru but most dishes are served with a side of fried potatoes), aji de gallina or creamy chicken, potatoes in cheese sauce, guinea pig, causa (potato casserole), stuffed spicy peppers, grilled alpaca heart, rice with duck, and Peruvian chicken rotisserie.
Some of the most popular foods include chicken, beef, potatoes, pizza, burgers,etc.
That depends how you make them. Potatoes on their own should not be considered protein, but rather a starchy carbohydrate. If you make your mashed potatoes with butter, a little milk and parmesan cheese like most people, you'll have as much protein as the milk/cheese contain. It all depends how much you add.
chicken, beef, pork and other products like cheese or eggs